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Simplifying 4(4x + -8) = 17x Reorder the terms: 4(-8 + 4x) = 17x (-8 * 4 + 4x * 4) = 17x (-32 + 16x) = 17x Solving -32 + 16x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -32 + 16x + -17x = 17x + -17x Combine like terms: 16x + -17x = -1x -32 + -1x = 17x + -17x Combine like terms: 17x + -17x = 0 -32 + -1x = 0 Add '32' to each side of the equation. -32 + 32 + -1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0 + 32 -1x = 0 + 32 Combine like terms: 0 + 32 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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